[P21] Simplified PN equations for nonclassical transport with isotropic scattering

Conference paper

Richard Vasques, Rachel N. Slaybaugh
Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Jeju, South Korea, 2017 Apr

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APA Click to copy
Vasques, R., & Slaybaugh, R. N. (2017). [P21] Simplified PN equations for nonclassical transport with isotropic scattering. In Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering. Jeju, South Korea.

Chicago/Turabian Click to copy
Vasques, Richard, and Rachel N. Slaybaugh. “[P21] Simplified PN Equations for Nonclassical Transport with Isotropic Scattering.” In Proceedings of International Conference on Mathematics &Amp; Computational Methods Applied to Nuclear Science &Amp; Engineering. Jeju, South Korea, 2017.

MLA Click to copy
Vasques, Richard, and Rachel N. Slaybaugh. “[P21] Simplified PN Equations for Nonclassical Transport with Isotropic Scattering.” Proceedings of International Conference on Mathematics &Amp; Computational Methods Applied to Nuclear Science &Amp; Engineering, 2017.

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@inproceedings{richard2017a,
  title = {[P21] Simplified PN equations for nonclassical transport with isotropic scattering},
  year = {2017},
  month = apr,
  address = {Jeju, South Korea},
  journal = {Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering},
  author = {Vasques, Richard and Slaybaugh, Rachel N.},
  month_numeric = {4}
}

ABSTRACT: An asymptotic analysis is used to derive a set of diffusion approximations to the nonclassical transport equation with isotropic scattering. These approximations are shown to reduce to the simplified PN equations under the assumption of classical transport, and therefore are labeled nonclassical SPN equations. In addition, the nonclassical SPN equations can be manipulated into a classical form with modified parameters, which can be implemented in existing SPN codes. Numerical results are presented for a one-dimensional random periodic system, validating the theoretical predictions.